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goldfiish [28.3K]
2 years ago
5

Omar painted half of a heart on a piece of paper.

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
8 0

Answer:

D reflection

Step-by-step explanation:

think of it like a mirror when u look at the mirror its an exact match to what u are seeing

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After sitting on a shelf for a while, a can of soda at room temperature (73 F) is placed inside a refrigerator and slowly cools.
Alona [7]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling here:

T(t)=T_s+(T_0-T_s)^{-kt

where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:

53=35+(73-35)^{-35k which can simplify a bit to

53=35+(38)^{-35k and 18=38^{-35k

Take the natural log of both sides:

ln(18)=ln(38)^{-35k

Taking the natural log allows us to pull that exponent down out front:

ln(18)=-35k*ln(38)

and now we can divide both sides by ln(38) to get

-35k = .794585 so

k = -.023

Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:

T(t)=35+(38)^{70(-.023) and

T(t)=35+(38)^{-1.61 and

T(t)=35+.0028612013 and

T(t) = 35 F, basically the temp of the fridge, which is not surprising!

5 0
3 years ago
The third, fifth and eighth terms of an AP are the first 3 consecutive terms of a GP. Given that the first term of the AP is 8,
Damm [24]

Answer:

The common difference = 2.

Step-by-step explanation:

An AP can be written as  a1,  a1 + d,  a1 + 2d,  a1 + 3d,  a1 + 4d,  a1 + 5d, a1 + 6d , a1 + 7d.    

 where a1 = first term and d is the common difference.

Here first term = a1 = 8

3rd term = a1 + 2d = 8 + 2d

5th term = a1 + 4d = 8 + 4d

8th term = 8 + 7d

First 3 terms of a GP are  a , ar and ar^2

So from the given information:

a = 8 + 2d

ar = 8 + 4d

ar^2= 8 + 7d

Dividing the second equation by the first  we have

r = (8 + 4d)/(8 + 2d)

Dividing the third by the second:

r = (8 + 7d) / (8 + 4d)

Therefore, eliminating r we have:

(8 + 4d)/(8 + 2d)  =   (8 + 7d)/(8 + 4d)

(8 + 4d)^2 = (8 + 2d)(8 + 7d)

64 + 64d + 16d^2 =  64 + 72d^ + 14d^2

2d^2 - 8d  = 0

2d(d^2 - 4) = 0

2d = 0 or d^2 = 4, so

d =  0, 2.

The common difference can't be zero so it must be 2.

3 0
2 years ago
A colony of 23,000 bacteria doubles in size every 267 minutes. What will the population be 534 minutes from now?
Blababa [14]

Answer:

92000

Step-by-step explanation:

Since you are asking in 534 minutes, that means it will double twice.

23000 * 2 * 2 = 92000

7 0
3 years ago
Read 2 more answers
Write an equation to represent the number puzzle. Use x as the
Art [367]

Answer:

It is A

Step-by-step explanation:

Equation: 5x+1=9+3x

5x+1=9+3x

     -1 -1

_________

5x=8+3x

-3x     -3x

________

2x=8

__ __

2     2

<h2><u><em>x=4</em></u></h2>
5 0
3 years ago
Put these numbers in order from least to greatest.<br><br> 7, -1/4,-15/20
Agata [3.3K]

Answer:

The answer is -15/20, -1/4, 7. Thanks

8 0
2 years ago
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